Christian and Muslim leaders have called for restraint and common sense in the face of escalated terrorism fears within Australia.

The Grand Mufti of Australia, Dr Ibrahim Abu Mohammed, joined senior leaders from the Muslim Sunni and Shiite communities and and the Greek-Melkite, Maronite, Anglican and Catholic Christian Churches to reject threats from the Islamic State (IS) group to harm Australians.

In a statement Dr Mohammed, Sheik Yahya Safi from the Australian National Iman Council and Father Patrick McInerney from the Catholic Church said the fatwa from IS calling on Australians to be targeted should be rejected by all Australians.

"The recent so-called fatwa from overseas, making reference to Australia as a target, has no religious authority and must be rejected," they said.

The religious leaders said people must not allow emotions to take over common sense.

They were also concerned about the rise in churches and mosques receiving threats of violence following last week's counter-terrorism raids.

"Sadly in reaction to understandable fear some people have given into abuse and the victimising of the innocent," they said.

"We call on everyone to exercise restraint and civility.

"Community harmony should be maintained at all costs.

"We must let not emotion take over common sense."

The leaders stressed that the sanctity of life is of paramount importance to all people of faith.

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